How do you simplify #ln sqrt(e^2 + 1) - 1/2 ln (1+ 1/e^2)#? Precalculus Properties of Logarithmic Functions Natural Logs 1 Answer Cesareo R. Sep 18, 2016 #1# Explanation: #ln sqrt(e^2 + 1) - 1/2 ln (1+ 1/e^2)=1/2 ln(e^2+1)-1/2(ln(e^2+1)-2)# #=1# Answer link Related questions What is the natural log of e? What is the natural log of 2? How do I do natural logs on a TI-83? How do I find the natural log of a fraction? What is the natural log of 1? What is the natural log of infinity? Can I find the natural log of a negative number? How do I find a natural log without a calculator? How do I find the natural log of a given number by using a calculator? How do I do natural logs on a TI-84? See all questions in Natural Logs Impact of this question 1422 views around the world You can reuse this answer Creative Commons License